3865480960 has 144 divisors (see below), whose sum is σ = 10147086432. Its totient is φ = 1399193600.

The previous prime is 3865480933. The next prime is 3865480991. The reversal of 3865480960 is 690845683.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955992 + ... + 3956968.

It is an arithmetic number, because the mean of its divisors is an integer number (70465878).

Almost surely, 2^3865480960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073543216).

3865480960 is an abundant number, since it is smaller than the sum of its proper divisors (6281605472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3865480960 is a wasteful number, since it uses less digits than its factorization.

3865480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 3865480960 is about 62172.9922072277. The cubic root of 3865480960 is about 1569.4031241598.

The spelling of 3865480960 in words is "three billion, eight hundred sixty-five million, four hundred eighty thousand, nine hundred sixty".